Answer:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Step-by-step explanation:
Given the equation
y = -2x+ 5
<u>Checking the ordered pair (2, -9)</u>
substituting x = 2 and y = -9 in the equation
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1
FALSE!
L.H.S ≠ R.H.S
Thus, the ordered pair (2, -9) is NOT a solution of the equation.
<u>Checking the ordered pair (-2, 9)</u>
substituting x = -2 and y = 9 in the equation
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9
TRUE!
L.H.S = R.H.S
Thus, the ordered pair (-2, 9) is a solution of the equation.
Conclusion:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Answer:
3/32
Step-by-step explanation:
One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:
F(2) = 2(2) - 1 = 3
G(2) = 3(2) + 2 = 8
H(2) = (2)^2 = 4
3/8
Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32
4
Answer: 24 goals
Step-by-step explanation:
Melissa makes 2 goals out of every 12 shots on goal.
This means that the amount of shots needed to score a goal for her is:
= Number of shots / Number of goals
= 12 / 2
= 6 shots
She scores a goal every 6 shots.
If she makes 144 shots therefore, she will score:
= Number of shots / Number of shots needed per goal
= 144 / 6
= 24 goals
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
• sin²x + cos²x = 1 , hence
cosx = ± 
cosΦ > 0 for 0 < Φ < 
cosΦ = 
= 
= 
= 
→ b
The answer when you divide it is 30 but I don't know how to really explain how I got my answer. I just used a calculator lol.
